## Welcome to Physics 3220!

### Week 17

Congratulations on completing Physics 3220!

The final letter grades are now posted with the Registrar. Final exam scores, solutions, a histogram of the results, and your protoLetter grades are also posted on D2L.

__Reading__: Your choice! Chapter 5 might be an excellent start if you are continuing with the second semester of Quantum next term (or even if Not!).

__Homework__: HWK assignments completed.

### Week 16

Last week of lectures!

We will take the last few lectures to talk about 'quantum correlations' and entangled states. These things are behind a number of increasingly practical devices, things that really exist, that can generate genuinely random numbers, let parties share random sequences for encrypting messages, and provide new tools for information processing and computation.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:00pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__Reading__: Chapter 4, especially 4.4 on spin and addition of angular momentum.

__Homework__: HWK14 due Wed. Dec. 11 at 2PM.

### Week 15

Welcome back from the Thanksgiving Break.

We are continuing our study of Spin, the behavior of spin 1/2 particles in magnetic fields, and how to figure out the total angular momentum for complicated systems.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:00pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__Reading__: Chapter 4, especially 4.4 on spin and addition of angular momentum.

__Homework__: HWK13 due Wed. Dec. 2 at 2PM.

### Week 14

Thanksgiving Break.

Enjoy the break! See you next week.

Please read Griffiths Chapter 4 sections 4.2-4.4. I recommend that you read the whole
of Chapter 4 between now and the end of the coming weekend.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:00pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__Reading__: Chapter 4, especially 4.2 on hydrogen and 4.3 and 4.4 on angular momentum, spin, and addition of angular momentum.

__Homework__: HWK13 due Wed. Dec. 2 at 2PM.

### Week 13

This week, we talk about angular momentum operators and algbra. The operator apporach
to angular momentum will lead us to Spin and dealing with systems that have more than
one type of angular momentum.

Please read Griffiths Chapter 4 sections 4.2-4.4. I recommend that you read the whole
of Chapter 4 between now and the end of the coming weekend.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:00pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__Reading__: Chapter 4, especially 4.2 on hydrogen and 4.3 and 4.4 on angular momentum and spin.

__Homework__: HWK13 due Wed. Dec. 2 at 2PM.

### Week 12

Exam 2 scores and solutions on D2L. Class average: 84+/-11 points of 100 total. Great Job!

This week, we talk about the Hydrogen Atom and angular momentum operators. Finally! We have
solved a problem that is an excellent model of something very real. The hydrogen problem forms
the foundation of our understanding of atoms. Let's take some time to work through it.

Please read Griffiths Chapter 4 sections 4.2-4.4. I recommend that you read the whole
of Chapter 4 between now and the end of the coming weekend.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:00pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__Reading__: Chapter 4, especially 4.2 on hydrogen and 4.3 and 4.4 on angular momentum and spin.

__Homework__: HWK12 due Wed. Nov. 18 at 2PM.

### Week 11

Separation of variables in 3D spherical coordinates with purely radial potential energy is the topic this week.

Exam 2 is Thursday, Nov. 5, 7:30P-9P. Calculator, writing tool, and one 8.5x11 cheat sheet. MUEN E0046 as for Exam 1.

Please read Griffiths Chapter 4.1 at least twice. I recommend that you read the whole
of Chapter 4 between now and the end of the coming weekend.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:00pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__Reading__: Chapter 4, especially 4.1 on separation of variables and spherical coordinates.

__Homework__: HWK11 due Wed. Nov. 11 at 2PM.

### Week 10

Quantum Mechanics in 3-dimensions. Now we can begin to treat quantum mechanical
problems in the space we actually live in. The additional spatial dimensions lead
to new operators, especially those for the components of angular momentum and spin.

Please read Griffiths Chapter 4.1 at least twice. I recommend that you read the whole
of Chapter 4 between now and the end of the coming weekend.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:00pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__Reading__: Chapter 4, especially 4.1 on separation of variables and spherical coordinates.

__Homework__: HWK10 due Wed. Nov. 4 at 2PM.

### Week 9

We continue with the general structure of Quantum Mechanics.

Please read Griffiths Chapter 3 and review Appendix A.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:00pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__Reading__: Chapter 3, the general structure of Quantum Mechanics. Start reading Chapter 4.

__Homework__: HWK9 due Wed. Oct. 28 at 2PM.

### Week 8

At this point we have covered the most important parts of Quantum Mechanics that live in 1-dimensional real space. As you work more complicated quantum problems, you'll find that the simple 1-d problems that we've solved often give inspiration. However, it's time to start moving on to 3-dimensional problems where we meet new operators for Angular Momentum and Spin. So much fun!

We start this week with a return to the general structure of Quantum Mechanics, Griffiths Chapter 3. You are well prepared to hear again what you
already know, namely: Chapter 3.1 Quantum states are complex-component vectors that live in a Hilbert vector space. Chapter 3.2 Observables are
associate with Hermitian Operators, operators that have Real-Valued eigenvalues and (Chapter 3.3) eigenvectors that form complete basis sets in the
Hilbert Space. Chapter 3.4 reminds you that All State Vectors can be linear combinations of basis vectors, so that the expectation values are understood
in terms of the amplitude along specific basis vectors and the associated eigen values. Chapter 3.5 shows specifically why Uncertainty Principle
relations are expected for non-commuting operators: The operators have different eigen vectors, so a measurement of one quantity with Force your
system into a superposition of the other operator's eigenvectors. Measure one and you force the other to have a wide range of possible values!
And finally, Chapter 3.6 tells you about Dirac's lovely vector notation: |A> for a Hilbert Space vector named 'A'. Nothing better!

Please read Griffiths Chapter 3 and review Appendix A.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:00pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__And remember__: You have great flexibility in the Representation and the associated mathematics when you do quantum mechanics.

__Reading__: Chapter 3, the general structure of Quantum Mechanics.

__Homework__: HWK8 due Wed. Oct. 21 at 2PM.

### Week 7

This week we will cover the delta-function potential, and potentials built from piece-wise flat lines. These include the finite potential well and the square barrier tunneling problem. These cases will be our final emphasis on 1-dimensional quantum mechanics. All of these problems yield essentially exact solutions and all of them are used in idealized models of more complex (an not solvable) situations.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:00pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__And remember__: You have great flexibility in the Representation and the associated mathematics when you do quantum mechanics.

__Reading__: Chapter 2.5 and 2.6, the delta-function, finite well, and square barrier.

__Homework__: HWK7 due Wed. Oct. 14 at 2PM.

### Week 6

Exam 1 solutions and histogram are posted on D2L. Exam 1 average was 72+/-18 of 100 points total. A fine job!. Exam 1 scores are posted on D2L.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:00pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__And remember__: The general state vector (wave function) is a linear superposition of basis vectors.

__Reading__: Chapter 2.3-2.6, simple harmonic oscillator operator methods, the Free Particle discussion (the set-up for the Momentum Representation), and various 1-dimensional potential well and barrier problems.

__Homework__: HWK6 due Wed. Oct. 7 at 2PM.

### Week 5

Exam 1 solutions are posted on D2L. Scores likely to be posted on D2L over the weekend.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:30pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__And remember__: The general state vector (wave function) is a linear superposition of basis vectors.

__Reading__: Chapter 2.3, concentrate on the simple harmonic oscillator operator methods.

__Homework__: HWK5 due Wed. Sept. 30 at 2PM.

### Week 4

Exam 1 is Thursday next week.

Regular office hours are planned this week on Monday, Tuesday, and Friday:

Monday 4:30pm-6:00pm in DUAN G2B47

Tuesday 3:30pm-5:30pm in DUAN G1B31

Friday 3:30pm-5:30pm in DUAN G2B41

__And remember__: The general state vector (wave function) is a linear superposition of basis vectors.

__Reading__: Chapter 2, concentrate on the simple harmonic oscillator. Study both the operator method and the differential equation method.

__Homework__: HWK4 due Wed. Sept. 23 at 2PM. I have posted Tutorials Week 2 and Week 3 under the tutorial tab and on the D2L site. Do these tutorials as review for Exam 1 and for 25 points on HW4.

### Week 3

Enjoy the Labor Day break. No lecture or office hours on Monday. Extended office hours Tuesday 3:30P-6:30P in Duane G-1B31. Office hours cancelled Friday.

Office hours on Friday are cancelled. Next week as usual on Monday and Tuesday.

__Reading__: Chapter 2.1-2.2, concentrate on the Time Independent Schroedinger Equation and the solutions for the infinite potential well.

__Homework__: HWK3 due Wed. Sept. 16 at 2PM.

### Week 2

Look for the Doodle Poll in your email and let me know about times that work well for homework sessions.

Buy a clicker if you don't have one already. Follow the instructions on MyCUInfo for registering the clicker.

__Reading__: Chapter 2, concentrate on the Time Independent Schroedinger Equation and the solutions for the infinite potential well.

__Homework__: HWK2 due Wed. Sept. 9 at 2PM.

### Week 1

First lecture is Monday, Aug 24, 2:00P-2:50P, in room Duane G-125.

Have a look at the course syllabus.

__Summary of things to do during or by the first week__:
Buy the text (David Griffiths's Introduction to Quantum Mechanics, 2nd Ed.).
Buy a clicker if you donâ€™t have one already. Follow the instructions on MyCUInfo for registering the clicker.

__Reading__: Read Appendix A on linear algebra, and Chapters 1, and 2.

__Homework__: HWK1 due Wed. Sept. 2 at 2PM.